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Contact [7]
3 years ago
12

The dimensions of a wooden bench shaped like a rectangular prism are 6' x 3.5' x 2.5'. What is the volume of the bench in cubic

feet?
Mathematics
1 answer:
Dafna11 [192]3 years ago
8 0

Answer:

Step-by-step explanation:

Volume of a rectangular prism

V=l*w*h

V=6*3.5*2.5=52.50 ft^3

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What is the slope of each side of the triangle? the sides are A(-2,4) B(-1,1) C(2,3)
Rashid [163]

Answer:

The slopes of three sides of triangle are as follows:

AB = -3

BC = 2/3

AC = -1/4

Step-by-step explanation:

The slope is denoted by m and is calculated using the formula

m = \frac{y_2-y_1}{x_2-x_1}

The given vertices are:

A(-2,4) B(-1,1) C(2,3)

The sides will be:

AB, BC, AC

Let m1 be the slope of AB

Let m2 be the slope of BC

Let m3 be the slope of AC

Now

Slope\ of\ AB = m_1 = \frac{1-4}{-1+2} = \frac{-3}{1} = -3\\Slope\ of\ BC = m_2 = \frac{3-1}{2+1} = \frac{2}{3}\\Slope\ of\ AC = m_2 = \frac{3-4}{2+2} = \frac{-1}{4} = -\frac{1}{4}

Hence,

The slopes of three sides of triangle are as follows:

AB = -3

BC = 2/3

AC = -1/4

6 0
2 years ago
8y + 10 − 4 − 5y = <br><br> please answer
GrogVix [38]

Answer:

<em>Well, The best answer will be is </em><em>y = 2. Good Luck!</em>

3 0
3 years ago
Read 2 more answers
Find the real zeros of f(x); there are 4 zeros
ziro4ka [17]

Answer:

x = 4 or x = 1 or x = -2 or x = -3/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^4 - 3 x^3 - 21 x^2 - 2 x + 24 = 0

The left hand side factors into a product with four terms:

(x - 4) (x - 1) (x + 2) (2 x + 3) = 0

Split into four equations:

x - 4 = 0 or x - 1 = 0 or x + 2 = 0 or 2 x + 3 = 0

Add 4 to both sides:

x = 4 or x - 1 = 0 or x + 2 = 0 or 2 x + 3 = 0

Add 1 to both sides:

x = 4 or x = 1 or x + 2 = 0 or 2 x + 3 = 0

Subtract 2 from both sides:

x = 4 or x = 1 or x = -2 or 2 x + 3 = 0

Subtract 3 from both sides:

x = 4 or x = 1 or x = -2 or 2 x = -3

Divide both sides by 2:

Answer:  x = 4 or x = 1 or x = -2 or x = -3/2

7 0
3 years ago
Read 2 more answers
(6 + 3) = (4-5) =?<br>please help​
NikAS [45]

Answer:

9=-1=?

Step-by-step explanation:

What is the question. Do you want us to evaluate it?

4 0
2 years ago
X+9=24 how to solve for x
rodikova [14]
You can easily do just one step to get the value of x.

x + 9 =24            subtract 9 from both sides

x + 9 - 9 = 24 - 9

Simplify:

x = 15


I hope I helped you.



5 0
2 years ago
Read 2 more answers
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